Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round you answer to the nearest tenth.

Answer:

(f + g)(3) = 9

Step-by-step explanation:

f(x) = x² + 1

g(x) = x - 4

Thus:

(f + g)(x) = (x² + 1) + (x - 4)

(f + g)(x) = x² + 1 + x - 4

(f + g)(x) = x² + x - 3

Therefore, to find (f + g)(3), plug in the value of 3 into the equation:

(f + g)(3) = (3)² + 3 - 3

(f + g)(3) = 9 + 3 - 3

(f + g)(3) = 9

The answer is C which is population 6,000 batches of 1,000 sample: every 100th batch

I hope this helps if you got it right go add me on tik toc at brianna47535

Answer:

70 miles per hour just finished doing the math :)

Step-by-step explanation:

Answer:

88km/h

Step-by-step explanation:

because it is 44km in one hour and it will be 88in 2 hours

Answer:

Well first of all, that isn't an equation, I wil however interpret it as best as I can.

x = 25 + 5y

Step-by-step explanation:

x/5 - 5 - y for x, so, x/5 - 5 - y = 0.

Add 5 and y to both sides.x/5 = 5+ y, multiple both sides by 5.

x = 25 + 5y

Answer:

point and circle

Step-by-step explanation:

cross section is slicing through. You can make a point and circle

when slicing through a sphere

Answer:

B. Less than 360 miles

Step-by-step explanation:

Let the number of miles driven be [tex]x[/tex]

The cost of renting from Gentle Rental per week is

[tex]185+0.25x[/tex]

The cost of renting from Rental Giant per week is [tex]275[/tex].

Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant

[tex]185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360[/tex]

So, the answer is less than 360 miles.

Answer:

c

Step-by-step explanation:

Answer:

B

I think its B because I do. I'm too smart to explain

Divide days late by total days then multiply by 100:

6/80 = 0.075

0.075 x 100 = 7.5%

Answer:

0.28

Step-by-step explanation:

Angles in standard position are angles with the initial side on the positive x-axis.

Since (7,24) lies on the terminal side of an angle, hence the line passing through the origin and point (7, 24) forms an angle with the x axis.

The slope of the line passing through the origin (0, 0) and the point (7, 24) is given by:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{24-0}{7-0}\\\\m=\frac{24}{7 }[/tex]

The angle θ between a straight line and the x axis is:

tanθ = m

where m is the slope of the line.

Let θ be the angle between the line with a slope of 24/7 and the x axis, therefore:

tanθ = 24 / 7

θ = tan⁻¹(24/7)

θ = 73.74°

cosθ = cos(73.74°) = 0.28

Answer:

13/15

Step-by-step explanation:

Answer:

28:12

Step-by-step explanation:

multiply the 7 by 4 to get 28 and multiply the 3 by 4 as well to get 12

Answer:

50

Step-by-step explanation:

first estimate probably 50% depends also in luck

Answer:

about 0.02

Step-by-step explanation:

If you toss a coin 1,000 times the average (mean) number of heads equals 500, yet the probability that you will get exactly 500 heads in 1,000 tosses is about 0.02.

Answer:

$4.26 per ceiling tile.

Step-by-step explanation:

Answer:

C. 48 feet

Step-by-step explanation:

Answer:

Angle D=162 P=74cm A=340sqcm

Answer:

[tex]Probability = 0.4167[/tex]

Step-by-step explanation:

Given

A toss of coin and a roll of 6-sides die

Required

P(Head and Number greater than 1)

First, we list the sample space of the coin:

[tex]Sample\ Space = \{Head, Tail\}[/tex]

From the sample space above:

[tex]P(Head) = \frac{1}{2}[/tex]

Next, we list the sample space of the die:

[tex]Sample\ Space = \{1,2,3,4,5,6\}[/tex]

There are 5 outcomes greater than 1; i.e. 2,3,4,5 and 6.

So:

[tex]P(Outcome> 1) = \frac{5}{6}[/tex]

Lastly, the required probability is calculated as:

[tex]Probability = P(Head) \ and \ P(Outcome>1)[/tex]

Change and to *

[tex]Probability = P(Head) \ * \ P(Outcome>1)[/tex]

Substitute values for P(Head) and P(Outcome > 1)

[tex]Probability = \frac{1}{2} * \frac{5}{6}[/tex]

[tex]Probability = \frac{5}{12}[/tex]

[tex]Probability = 0.4167[/tex]

Answer:

(2x - 2.1)+(2x - 2.1)+(2x - 2.1)

Step-by-step explanation:

Answer:

B is correct.

You got it right =D

Explanation:

B is correct because the graph never goes up after leaving zero, therefore it can never increase. This eliminates options A and D.

If the graph had remained constant, the graph would have been a straight line, therefore eliminating C

With A, C, and D being eliminated, B is the correct answer.

Hope this helps ^w^

Answer:

5(3-x)

Step-by-step explanation:

Step-by-step explanation:

This could be random. There are endless possibilities. For example

15 * 2 - 5x * 2

= 30 - 10x

etc.

So as long as you know the pattern, you can make many more of them

Answer:

16

Step-by-step explanation:

24-8 = 16

hope this helps....

Answer:

Undefined because there is no slope or y - intercept

Step-by-step explanation:

Answer:

I think it is (2,2) but im not sure.

Step-by-step explanation:

Answer:

greater

Step-by-step explanation:

Answer:

45.386 is greater than 45.386

Answer:

f(x) has not x^2 term.

Step-by-step explanation:

Linear function is in the form of y=mx+b

In the linear function y=mx+b there is a constant term b

There is also an x term.

m is the slope of f(x). The value of 'm' can be any number.

If we have x^2 term in f(x) then it is quadratic function.

Linear function must always have x with exponent 1

True option is f(x) has not x^2 term.

Answer:

A: 1070 m

Solution:

based on the formula :

960km/h= x (the distance) / 1h50m

Answer:

Step-by-step

The rate of change is 150 km per minute.

The rate of change is 2.5 km per second. explanation: